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Finding the Third Proportional to 5,727,284 and 12,350,764

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Solution

The third proportional to 5,727,284 and 12,350,764 is: 26,634,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727,284 : 12,350,764 = 12,350,764 : x
  2. Step 2: Convert to fraction form
    5,727,284/12,350,764 = 12,350,764/x
  3. Step 3: Cross multiply
    5,727,284x = 12,350,764 × 12,350,764
  4. Step 4: Simplify right side
    5,727,284x = 152,541,371,383,696
  5. Step 5: Solve for x
    x = 152,541,371,383,696/5,727,284
  6. Step 6: Final answer
    x = 26,634,155.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.